Let's start by drawing a diagram corresponding to the situation. Notice that the sushi roll can be modeled by a circle, with the chopsticks being .
The diameter of the circle is then cm, the length of arc is cm, and we are interested in the measure of angle To find this, we'll first need the which we can find by the . The circumference is
We can now calculate the arc measure.
We now know that the measure of arc is As is a quadrilateral, it has the interior angle sum With and being the sum of and must then be
The measure of the circumscribed angle is